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Finding the Fourth Proportional to 24,344, 36,516 and 5,876

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Solution

The fourth proportional to 24,344, 36,516 and 5,876 is: 8,814

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344 : 36,516 = 5,876 : x
  2. Step 2: Convert to fraction form
    24,344/36,516 = 5,876/x
  3. Step 3: Cross multiply
    24,344x = 36,516 × 5,876
  4. Step 4: Simplify right side
    24,344x = 214,568,016
  5. Step 5: Solve for x
    x = 214,568,016/24,344
  6. Step 6: Final answer
    x = 8,814

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.